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Finding the Third Proportional to 2,976,210 and 6,446,916

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Solution

The third proportional to 2,976,210 and 6,446,916 is: 13,964,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,210 : 6,446,916 = 6,446,916 : x
  2. Step 2: Convert to fraction form
    2,976,210/6,446,916 = 6,446,916/x
  3. Step 3: Cross multiply
    2,976,210x = 6,446,916 × 6,446,916
  4. Step 4: Simplify right side
    2,976,210x = 41,562,725,911,056
  5. Step 5: Solve for x
    x = 41,562,725,911,056/2,976,210
  6. Step 6: Final answer
    x = 13,964,984.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.